I can only offer my personal experience.
After some research and concerns of others (and me) regarding the contents of Purina feeds, I chose Texas Natural feeds because they are Non-GMO and contain no soy. I have been feeding my 14 girls and Rudy the Rooster TN foods since day 1. Also, after quite a bit of reading regarding the concern of Roosters receiving excess calcium from foods formulated for layers, I chose to move them on to T.N. Broiler Grower at about 10 weeks. I provide crushed egg and oyster shells for supplemental calcium. Furthermore, all can forage in a large grassy area and an equally large wooded area in their pen. Judging from the egg shells, they are receiving adequate calcium.
Even though the girls and Rudy have a relatively large area in which to forage, I liked the additional protein that is in the Broiler Grower. Others that have a similar concern about calcium, but may choose TN Pullet Grower Pellets, which has a lower protein content (18% vs. 22% in the Broiler Grower). I must say that I supplement their feed with greens in the winter and vegetables (tomatoes, squash, etc.) in the summer from my garden. And, like many of us, I give them measured amounts of black oil sunflower seeds, chicken scratch and table scraps as treats
They have all grown to be beautiful, very active Rhode Island Reds. My extended family and neighbors are very happy with the number, size and quality of eggs we receive from them. Their pen is a little secluded in the back of our 8+ acres, so I visit them two three times a day. I have no plans to butcher them as their egg production wains. They are my pets and I so much enjoy having them.
Obviously, this is not a scientifically based comparison of the two feeds, and I have not found such a study online.